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Suppose f^-1 is the inverse function of a differentiable function f and f(4)=5, f'(4)=2/3. Find (f^-1)'(5).

The first person who gets this correct shall receive 100+ points.

Hint: (f^-1)'(a)=lim as x→a (f^-1(x)-f^-1(a))/(x-a)
Hint 2: (f^-1)(a)=1/f'(f^-1(a))
Hint 3: If f(a)=b then the of f^-1(b)=a

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  • 6

    I refuse to fall for this,
    do your own damn homework.

    I know the answer and how to get it. ;)
    Trust me there are easier ways of getting homework questions.
    - mrcbccadetx0 January 10, 2012, 7:09 pm
    Reply
  • 4

    i can't do this
    i know math in arabic
    i did take QM in college but i still duno these weird words
    i passed finance, QM and Economics with the highest grades in class
    but i look at what you wrote and m like what?! +3 :D

    Reply
  • 3

    1
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    19...
    so is one of them right

    • hightec
    • January 10, 2012, 5:25 pm
    Haha nope, but its in those realm of numbers.
    - mrcbccadetx0 January 10, 2012, 7:09 pm
    Reply
  • 2

    1.5

    We have a winner! You shall receive 100 points or more from my following posts. Thank you for playing!
    - mrcbccadetx0 January 10, 2012, 10:38 pm
    thank you
    it was a shot in the dark but i got it
    - awesomeeeee January 11, 2012, 8:13 am
    good job
    - hightec January 11, 2012, 3:50 pm
    thanks
    - awesomeeeee January 11, 2012, 3:55 pm
    Reply
  • 1

    Would it be, -5/f^2
    ?
    That Was hard!

    Sorry mate no dice.
    - mrcbccadetx0 January 10, 2012, 4:30 pm
    Reply
  • 1

    i would know the answer to this but i honestly forget what inversing a function does exactly. i know derivatives left right and sideways but i forget inverse

    I know how you feel. I haven't taken calc in a year yet I find myself in calc II now so I thought I'd share the fun I'll be having.
    - mrcbccadetx0 January 10, 2012, 4:31 pm
    lol just wait until calc 3.
    - bufus101 January 10, 2012, 4:52 pm
    Haha that adventure doesn't start until this summer.
    - mrcbccadetx0 January 10, 2012, 5:14 pm
    oh wait isnt the inverse when you switch the x's and y's?
    - bufus101 January 10, 2012, 5:22 pm
    isn't it a reflection on the line y=x ??
    - BadassSquirrel January 10, 2012, 6:07 pm
    something like that
    - bufus101 January 10, 2012, 6:10 pm
    i think its like this
    2/3 --→ -3/2
    - hightec January 10, 2012, 9:45 pm
    So so close...
    - mrcbccadetx0 January 10, 2012, 10:36 pm
    that wasn't the answer actually i was giving an example of what i think inverse is.
    boy would it be funny if i acctually got it right without trying.
    - hightec January 11, 2012, 3:52 pm
    Reply
  • 1

    is teh answer 4?

    **Edit: oh no ^^ is wrong because i did (f-1)(4) not the derivative of it, back to the drawing board!***

    You are on the right path my friend. Check the hints, and I think you will get it. ;)
    - mrcbccadetx0 January 10, 2012, 7:13 pm
    is it 30? im doing it a very ass backwards way lol
    - bufus101 January 10, 2012, 9:50 pm
    Haha nope, I think you are just guessing now ;) lol
    - mrcbccadetx0 January 10, 2012, 10:36 pm
    i give up lol. been too long since i did that pewp
    - bufus101 January 10, 2012, 11:17 pm
    Reply
  • 1

    I've done trig functions and stuff, but never anything quite this complicated.

    Reply
  • 1

    the answer to the universe is 42 duh hitch hikers guide to the galixy

    Reply
  • 1

    wait who won

    Reply
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